Orbital Mechanics - Model & Simulation Software (OM-MSS)
by R C Chakraborty,
www.myreaders.info
Earth, Sun,
Moon & Satellites
Motion in Orbit
- Model &
Simulation Software.
A Monograph of
Earth, Sun, Moon
& Satellites Motion
in Orbit with
Examples, Problems and
Software Driven Solutions.
The OM-MSS Software
is written in
'C' Language, the
Compiler used is Dev
C++ and
the Platform is
a Windows 7, 64 bit Laptop.
The Source Code,
around 30,000 Lines, is
Compiled. The 'OM-MSS.EXE'
File generated is of Size 1.5 KB.
The
Executable File, < OM-MSS.EXE >, is RUN Step-by-Step
for a Set
of Inputs. The
Results seen on
Computer Screen are
put in a
File, that in
effect becomes 'A Monograph
of Orbital Mechanics
with Examples, Problems
and Software Driven
Solutions'. The execution
of 'Orbital Mechanics
- Model &
Simulation Software (OM-MSS)',
illustrates its Scope,
Capability, Accuracy, and
Usage. The OM-MSS
Software is quite
exhaustive for beginners,
experts, researchers &
professional in Spherical
Astronomy. The source
code of OM-MSS Software in
full or in
parts has a
cost if there
is buyer. The
cost has not
been evaluated / decided.
The OM-MSS Software
includes the following
:
(a) Astronomical Time
Standards and Time
Conversions Utilities :
GMT - Greenwich Mean
Time, LMT - Local Mean
Time, LST - Local
Sidereal Time, UT - Universal Time, ET - Ephemeris Time,
JD - Julian Day, Standard Epoch J2000, Gregorian Calendar date
and more.
Sidereal Time, UT - Universal Time, ET - Ephemeris Time,
JD - Julian Day, Standard Epoch J2000, Gregorian Calendar date
and more.
(b) Positional
Astronomy of Earth,
Sun, Moon, and
Satellites Motion in
Orbit, includes computations of :
Orbit, includes computations of :
* Position of
Sun and Position
of Earth on
Celestial Sphere at
Epoch ;
Epoch ;
* Keplerian elements :
Inclination, RA of asc.
Node, Eccentricity, Arg.
of Perigee, Mean Anomaly, Mean Motion;
of Perigee, Mean Anomaly, Mean Motion;
* Motion Irregularities : Mean,
Eccentric and True
anomaly in deg;
* Precise Time
at Earth Orbit
Points : Perihelion, Aphelion,
Equinoxes, Solstices, Semi-Major & Minor-axis;
Equinoxes, Solstices, Semi-Major & Minor-axis;
* Astronomical years :
Anomalistic, Tropical, and
Sidereal Years;
* Four
Seasons : Spring, Summer,
Autumn and Winter
start time
and duration;
and duration;
* Position of
Satellites around Earth : Keplerian elements and State
Vectors at epoch, and computing, Sub-Sat point lat/log, EL &
AZ angles, Distances, Velocity, & more;
Vectors at epoch, and computing, Sub-Sat point lat/log, EL &
AZ angles, Distances, Velocity, & more;
* Satellite Pass,
Ground Trace for
Earth Stn using
NASA/NORAD
2-line bulletins;
2-line bulletins;
(c) Customized Utilities and products :
On special request
either
developed or configured and generated.
developed or configured and generated.
These are
Presented in Section - 1 to 8. The Section
- 9 Containes References,
and Section - 10 Containes
few related Diagrams.
For complete post move on
to Website page
URL : http://myreaders.info/html/orbital_mechanics.html
Index Table : Sections / Sub Sections, Titles & Page no.
Sec.
|
Titles
|
Page
|
1
|
Astronomical Time
Standards and Time
Conversion Utilities.
|
6
|
1.1
|
Conversion of
Universal Time (year, month, day, hour decimal) To Julian Day.
|
12
|
1.2
|
Conversion of
Julian Day To Universal Time (year, month, day, hour decimal).
|
13
|
1.3
|
Conversion of Fundamental
Epoch To Julian day and Julian century.
|
14
|
1.4
|
Add or Subtract
time (days, hour, minute seconds) to or from input time.
|
15
|
1.5
|
Julian day for
start of any Year.
|
16
|
1.6
|
Solar Time : Local Mean Solar Time (LMT) over observer's
Longitude, and Greenwich Mean Time (GMT).
|
17
|
1.7
|
Sidereal Time
: Greenwich universal time at hour 0.0
(ST0) and Greenwich Mean Sidereal Time
(GMST) at input UT.
|
21
|
1.8
|
Sidereal Time
: Greenwich Sidereal Time (GST), Greenwich Hour Angle (GHA), and
Mean Sidereal Time (MST) at
input UT.
|
24
|
1.9
|
Sidereal
Time : LMST is Local Mean Sidereal time over
observer's Longitude and GMST is Greenwich Mean
Sidereal Time.
|
26
|
1.10
|
Time Conversions
: LMT to LST, LST to LMT,
LMT to LMST, LMST to LMT.
|
28
|
1.11
|
Concluding Time
Standards and Time Conversion Utilities (Sections 1.0 to 1.10).
|
32
|
2
|
Positional Astronomy
: Earth Orbit
around Sun, Anomalies
& Astronomical Events
- Equinoxes,
Solstices,
Years & Seasons.
|
33
|
2.1
|
Earth Orbit :
Constants used in OM-MSS Software.
|
41
|
2.2
|
Earth Mean
anomaly and True anomaly at Input UT,
Since Standard Epoch J2000, using standard analytical
expressions.
|
43
|
2.3
|
Earth Orbit
Input Year : Precise Universal Time (UT) at orbit points
- Perihelion and Aphelion.
|
44
|
2.4
|
Earth Orbit
Input Year : Precise Universal Time (UT) at orbit points
- Vernal Equinox and Autumnal Equinox.
|
46
|
2.5
|
Earth Orbit
Input Year : Precise Universal Time (UT) at orbit points
- Summer Solstice and Winter Solstice.
|
47
|
2.6
|
Earth Orbit
Input Year : Precise Universal Time (UT) at orbit points
- Semi-Major Axis and Semi-Minor Axis.
|
48
|
2.7
|
Earth Orbit
Input Year : Astronomical Years - Anomalistic, Tropical,
and Sidereal Years.
|
49
|
2.8
|
Earth Orbit
Oblateness : Semi-Major Axis and Semi-Minor Axis.
|
50
|
2.9
|
Earth Orbit
Input Year : Mean anomaly, Eccentric anomaly, True anomaly at UT, based on algorithms of
iterative
method.
|
52
|
2.10
|
Earth Orbit
Input Year : Four
Seasons - Spring,
Summer, Autumn, and
Winter.
|
54
|
2.11
|
Concluding
Astronomical Events Anomalies, Equinoxes, Solstices, Years & Seasons
(Sections 2.0 to 2.10).
|
56
|
3
|
Position of
Sun on Celestial
Sphere at Input
Universal Time (UT).
|
57
|
3.1
|
Sun Positional
Parameters on Celestial Sphere : Input Time (UT) Standard Epoch JD2000.
|
59
|
3.2
|
Sun Positional
Parameters on Celestial Sphere : Input Year Time when Earth is at Perihelion.
|
60
|
3.3
|
Sun Positional
Parameters on Celestial Sphere : Input Year Time when Earth is at Vernal
equinox.
|
61
|
3.4
|
Sun Positional
Parameters on Celestial Sphere : Input Year Time when Earth is at Summer
solstice.
|
62
|
3.5
|
Sun Positional
Parameters on Celestial Sphere : Input Year Time when Earth is at Aphelion.
|
63
|
3.6
|
Sun Positional
Parameters on Celestial Sphere : Input Year Time when Earth is at Autumnal
equinox.
|
64
|
3.7
|
SUN Positional
Parameters on Celestial Sphere : Input Year Time when Earth is at Winter
solstice.
|
65
|
3.8
|
Concluding Sun
Position on Celestial Sphere (Sections 3.0 to 3.7).
|
66
|
4
|
Position of
Earth on Celestial
Sphere at Input
Universal Time (UT).
|
68
|
4.1
|
Earth Positional
Parameters on Celestial Sphere : Input Time (UT) Standard Epoch JD2000.
|
71
|
4.2
|
Earth Positional
Parameters on Celestial Sphere : Input Year Time when Earth is at Perihelion.
|
84
|
4.3
|
Earth Positional
Parameters on Celestial Sphere : Input Year Time when Earth is at Vernal
equinox.
|
97
|
4.4
|
Earth Positional
Parameters on Celestial Sphere : Input Year Time when Earth is at Summer
solstice.
|
110
|
4.5
|
Earth Positional
Parameters on Celestial Sphere : Input Year Time when Earth is at Aphelion.
|
123
|
4.6
|
Earth Positional
Parameters on Celestial Sphere : Input Year Time when Earth is at Autumnal
equinox.
|
136
|
4.7
|
Earth Positional
Parameters on Celestial Sphere : Input Year Time when Earth is at Winter
solstice.
|
149
|
4.8
|
Concluding Earth
Position on Celestial Sphere (Sections 4.0 to 4.7).
|
162
|
5
|
Satellites Orbit
Elements : Ephemeris,
Keplerian Elements, State
Vectors
|
164
|
5.1
|
NASA/NORAD
'Two-Line Elements'(TLE) Ephemeris data set.
|
170
|
5.2
|
Conversion of
Keplerian Element Set to State Vector Set and vice versa.
|
174
|
5.3
|
Satellite Orbit
Keplerian element set at Perigee prior to Epoch.
|
186
|
5.4
|
Concluding Satellites
Ephemeris Data Set (Sections 5.0 to 5.3).
|
192
|
6.
|
Satellites Motion
Around Earth :
Orbital & Positional
Parameters at Epoch.
|
193
|
6.1
|
LANDSAT 8 : Orbital
& Positional parameters corresponding to input 'Two-Line Elements'(TLE)
Bulletins.
|
195
|
6.2
|
SPOT 6 : Orbital
& Positional parameters corresponding to input 'Two-Line Elements'(TLE)
Bulletins.
|
207
|
6.3
|
CARTOSAT 2B :
Orbital & Positional parameters corresponding to input 'Two-Line
Elements'(TLE) Bulletins.
|
219
|
6.4
|
ISS (ZARYA) :
Orbital & Positional parameters corresponding to input 'Two-Line
Elements'(TLE) Bulletins.
|
231
|
6.5
|
GSAT-14 : Orbital & Positional parameters
corresponding to input 'Two-Line Elements'(TLE) Bulletins.
|
243
|
6.6
|
MOON : Orbital & Positional parameters
corresponding to input 'Two-Line Elements'(TLE) Bulletins.
|
255
|
6.7
|
Concluding
Satellites Orbital & Positional Parameters At Epoch (Sections 6.0 to
6.6).
|
267
|
7
|
Satellite Pass
for Earth Stn
- Prediction of
Ground Trace Coordinates, Look
angles,
Universal/Local Time
& more.
|
268
|
7.1
|
LANDSAT 8 : Sat
Pass for Earth Stn - Prediction of Ground Trace, Look Angles & more at
Instantaneous Time.
|
270
|
7.2
|
SPOT 6 : Sat Pass for Earth Stn - Prediction of
Ground Trace, Look Angles & more at Instantaneous Time.
|
290
|
7.3
|
CARTOSAT 2B : Sat Pass for Earth Stn - Prediction of
Ground Trace, Look Angles & more at Instantaneous Time.
|
310
|
7.4
|
ISS (ZARYA) : Sat Pass for Earth Stn - Prediction of
Ground Trace, Look Angles & more at Instantaneous Time.
|
330
|
7.5
|
GSAT-14 : Sat Pass for Earth Stn - Prediction of
Ground Trace, Look Angles & more at Instantaneous Time.
|
350
|
7.6
|
MOON : Sat Pass for Earth Stn - Prediction of
Ground Trace, Look Angles & more at Instantaneous Time.
|
370
|
7.7
|
Concluding
Satellites Passes - Prediction of Ground Trace Coordinates, Look Angles &
more at Instantaneous Time.
|
390
|
8
|
Conclusion :
Orbital Mechanics -
Model & Simulation
Software (OM-MSS).
|
391
|
9
|
References : Text
books & Internet
Web Links.
|
392
|
10
|
Annexure :
A Collection
of few related
Diagrams / Help.
|
399
|
